(Solution Library) A m* n matrix A is given. Determine whether the equation Ax=b is consistent for every b in R^n.
Question: A \(m\times n\) matrix A is given. Determine whether the equation \(Ax=b\) is consistent for every b in \({{R}^{n}}\).
\[\left[ \begin{matrix} 1 & 2 & 1 \\ 3 & 0 & -3 \\ -1 & 1 & 2 \\ \end{matrix} \right]\]
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